Factorize:6x2 – 5x – 6

Q38 of 137 Page 102

Factorize:
6x² – 5x – 6

Given,

6x² – 5x – 6

Now first find the numbers whose-

Sum = - 5 and

Product = - 6 × 6 = - 36

Required numbers are 9 and 4,

So we get;

= 6x² – 9x + 4x – 6

= 3x(2x – 3) + 2(2x – 3)

= (2x – 3)(3x + 2)

Factorize:

28 – 31x – 5x²

3 + 23z – 8z²

Factorize:

3m² + 24m + 36

Factorize:

4n² – 8n + 3